The inertia of a Hermitian matrix having prescribed complementary principal submatrices

Bryan E. Cain, Eduardo Marques de Sá

Type: Article

Publication Date: 1981-04-01

Citations: 18

DOI: https://doi.org/10.1016/0024-3795(81)90175-0

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Linear Algebra and its Applications - View

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Works That Cite This (18)

Action	Title	Year	Authors
+	The possible inertias for a Hermitian matrix and its principal submatrices	1987	Jerome Dancis
+	The inertia of certain Hermitian block matrices	1998	Carlos M. da Fonseca
+ PDF Chat	A restricted signature normal form for Hermitian matrices, quasi-spectral decompositions, and applications	1993	Roland W. Freund Thomas Huckle
+	The inertia of a Hermitian matrix having prescribed diagonal blocks	1981	Bryan E. Cain
+	On the Routh-Hurwitz and Schur-Cohn Problems for Matrix Polynomials and Generalized Bezoutians	1984	Georg Heinig Uwe Jungnickel
+	On the Lyapunov and Stein equations	2006	Fernando C. Silva Rita Simões
+	The inertia sets of symmetric tridiagonal sign-patterns	2011	Eduardo Marques de Sá
+	Inertia of the stein transformation with respect to some nonderogatory matrices	1996	Luz M. DeAlba
+	On completions of symmetric and antisymmetric block diagonal partial matrices	2013	Elena Rubei
+	Inertias of Block Band Matrix Completions	1998	Nir Cohen Jerome Dancis

Works Cited by This (7)

Action	Title	Year	Authors
+	On the Ostrowski-Schneider inertia theorem	1973	Hȧrald K. Wimmer
+	Determination of the inertia of a partitioned Hermitian matrix	1968	Emilie V. Haynsworth
+	Manifestations of the Schur complement	1974	Richard W. Cottle
+	On the inertia of some classes of partitioned matrices	1968	Emilie V. Haynsworth Alexander Ostrowski
+	On the eigenvalues of sums of Hermitian matrices	1971	Robert C. Thompson Linda J. Freede
+	An inertia theory for operators on a Hilbert space	1973	Bryan E. Cain
+ PDF Chat	The Eigenvalues of Complementary Principal Submatrices of a Positive Definite Matrix	1972	Robert C. Thompson S. Therianos